English

Several almost critical regularity conditions based on one component of the solutions for 3D N-S Equations

Analysis of PDEs 2013-12-31 v1

Abstract

In this article, we establish several almost critical regularity conditions such that the weak solutions of the 3D Navier-Stokes equations become regular, based on one component of the solutions, say u3u_3 and 3u3\partial_3u_3.

Keywords

Cite

@article{arxiv.1312.7378,
  title  = {Several almost critical regularity conditions based on one component of the solutions for 3D N-S Equations},
  author = {Daoyuan Fang and Chenyin Qian},
  journal= {arXiv preprint arXiv:1312.7378},
  year   = {2013}
}

Comments

18pages, 1figre. arXiv admin note: text overlap with arXiv:1210.3857; and text overlap with arXiv:1005.4463 by other authors